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Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17406
Title: An existence result for -Laplace equation with gradient nonlinearity in R
Authors: Dwivedi, Gaurav
Keywords: Mathematics
Mathematics - analysis
Issue Date: May-2022
Publisher: EPI Sciences
Abstract: We prove the existence of a weak solution to the problem −Δpu+V(x)|u|p−2uu(x)=f(u,|∇u|p−2∇u), >0 ∀x∈RN, where Δpu=div(|∇u|p−2∇u) is the p-Laplace operator, 1<p<N and the nonlinearity f:R×RN→R is continuous and it depends on gradient of the solution. We use an iterative technique based on the Mountain pass theorem to prove our existence result.
URI: https://cm.episciences.org/9316
http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17406
Appears in Collections:Department of Mathematics

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